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Lesechka [4]
3 years ago
13

Geomertric sequence- A bank account earns a constant rate of interest each month. The account was opened on March 1 aith $18,000

in it. On April 1, the balance in the account was $18045.
write explicit rule that can be used to find A(n), the balance after n months.

find the balance after 5 months.


find the balance after 5 years.
Mathematics
1 answer:
kifflom [539]3 years ago
8 0
A₀ = 18 000(1 + 0.0025)⁰
A₁ = 18 000(1 + 0.0025)¹
A₂ = 18 000(1 + 0.0025)²
A(n) = 18 000(1 + 0.0025)ⁿ

So, after 5 months, A(n) = 18 000(1 + 0.0025)⁵ = $18 226.1278 ≈ 18 226.13

5 years is 60 months.

A₆₀ = 18 000(1 + 0.0025)⁶⁰ = $20 909.1021  ≈ $20 909.10
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n aquarium holding African cichlids is 6 inches higher than it is wide. Its length is 33 inches, and its volume is 9240 cubic in
sukhopar [10]

Answer: Height = 20 inches

Width = 14 inches

Step-by-step explanation:

The aquarium is rectangular. The formula for determining the volume of a rectangular box is expressed as

Volume = LWH

Where L,W and H represents the length, width and height of the box.

The aquarium holding African cichlids is 6 inches higher than it is wide. It means that

H = W + 6

Its length is 33 inches, and its volume is 9240 cubic inches. It means that

9240 = 33W(W + 6)

9240/33 = W(W + 6)

280 = W² + 6W

W² + 6W + (6/2)² = 280 + (6/2)²

(W + 3)² = 280 + 9 = 289

Taking square root of both sides, it becomes

W + 3 = √289 = 17

W = 17 - 3

W = 14

H = W + 6 = 14 + 6

H = 20

3 0
3 years ago
Fred goes fishing with sally. Fred catches 8 trout sally catches twice as many trout as Fred. ​
valentinak56 [21]
The answer for this is sally caught 16 trout because 8x2=16.
8 0
2 years ago
Read 2 more answers
Please answer Thank you please answer hurry PLease
Alik [6]

Answer:

$(80.5x + 69)

Step-by-step Explanation:

Recall, distributive property of multiplication can simply be expressed as follows, x(y + z) = xy + xz or x(y - z). Where x, y, and z could be any number.

Now, let's use the distributive property to show the total costs of plants Gloria decides to buy as an expression and also simplify it.

Thus, Gloria buys:

4 ferns = 4(0.5x - 3) = 4(0.5x) - 4(3) = $(2x - 12)

2 palms = 2(10x - 2.50) = 2(10x) - 2(2.50) = $(20x - 5.00)

10 lilies = 10(5 + 0.25x) = 10(5) + 10(0.25x) = $(50 + 2.5x)

8 shrubs = 8(4.50 + 7x) = 8(4.50) + 8(7x) = $(36 + 56x)

Total cost of the plants = (2x - 12) + (20x - 5) + (50 + 2.5x) + (36+ 56x)

Open the parentheses and then simplify:

Total cost = 2x - 12 + 20x - 5 + 50 + 2.5x + 36 + 56x

= 2x + 20x + 2.5x + 56x - 12 - 5 + 50 + 36

Total cost = $(80.5x + 69)

5 0
3 years ago
Plz answer this 6th grade question
In-s [12.5K]

Answer:

its 12

Step-by-step explanation:

3 0
2 years ago
Squad root of 130 by using the Babylonian method. Let 11.5 be initial.
tangare [24]


The Babylonian method for approximating square roots is the recursive method given by:

Given:

x0≈k−−√
x
0
≈
k


Then:

xn+1=x2n+k2xn
x
n
+
1
=
x
n
2
+
k
2
x
n


where k
k
is the number for which we are approximating the square root.

So, armed with this formula, let's now answer the given questions:

1.) Fill in the missing info in the problem to find square root 130 by using the Babylonian method. Let 11.5 be your initial guess.

We will use 15 digits of precision here since it is not stated how many iterations to carry out:

x0=11.5
x
0
=
11.5


x1≈11.4021739130435
x
1
≈
11.4021739130435


x2≈11.4017542587143
x
2
≈
11.4017542587143


x3≈11.4017542509914
x
3
≈
11.4017542509914


x4≈11.4017542509914
x
4
≈
11.4017542509914


Thus, with 15 digits of accuracy, we may state:

130−−−√≈11.4017542509914
130
≈
11.4017542509914


2.) Use the Babylonian method for your next estimate of square root 115 by using 10.7262 as your guess what's your next result?

The next result here is approximately:

x1=10.72622+1152⋅10.7262≈10.7238055620816
x
1
=
10.7262
2
+
115
2
⋅
10.7262
≈
10.7238055620816



3.) Nails wants to use the Babylonia method to estimate square root 58 to the nearest hundredth her initial estimate is 7.8. What is her estimate after she correctly completes the Babylonian method once?

The next result here is:

x1=7.82+582⋅7.8=7.6179487¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
x
1
=
7.8
2
+
58
2
⋅
7.8
=
7.6
179487
¯


4.) If you use the Babylonian method to estimate square root 75 to the nearest hundredth, starting with the estimate 8. What is the next estimate?

The next result here is:

x1=82+752⋅8=8.6875
x
1
=
8
2
+
75
2
⋅
8
=
8.6875
6 0
3 years ago
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